In a standard deck of 52 cards, there are 4 suits (Spades, Hearts, Clubs, Diamonds) and 13 cards in each suit (no Jokers). How many 7-card hands contain at least one card of each suit?

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8...

A: Formula : μ = E(x) = Σx * p(x)

Q: How many ways are there to rearrange the letters in the word "TAKUT" so that the

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Q: Problem 3 Let X be a continuous random variable with PDF S 4z³ 0 ).

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Q: What's More A. Construct a probability distribution for the data. 1. The probabilities that a surgeo...

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Q: Suppose X is an outcome in throwing a fair die. Find the mean and variance

A: Given X is an outcome in throwing a fair die and we want the mean and variance.

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: Use the figure below to find the outcome of the bets in roulette, iven the results listed. You bet s...

A: Given information: You bet $8 on the 32 in roulette.

Q: A B 24 12 17 6. 16 14 38 13 How many elements are in (4 UB)nC? 75 39 9. 14

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Q: A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 s...

A: Let X be the number of gamma rays emitted per second follow Poisson distribution with Rate of emissi...

Q: The following gambling game, known as the wheel of fortune (or chuck-a-luck), is quite popular at ma...

A: There are four distinct outcomes when three dice are rolled-zero, one, two, and three occurrences of...

Q: Two pumps connected in parallel fail independently of one another on any given day. The probability ...

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Q: b) The events M and Y are independent such that P(M) = a,P(Y) = 0.3, and P(M n Y) = 0.15. i) Find th...

A: b)GivenP(M)=aP(Y)=0.3P(M∩Y)=0.15

Q: MODULE 10: Calculating the Confidence Interval Estimates for Mean µ when a is known Individual work....

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Q: determine whether the following can serve as the probability distribution of a random variable X. 1....

A: Here use rule of total probability  Total probability always 1

Q: at random fröm the remaining cards in the deck. What is the probability that all three of the cards ...

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Q: car dealer has the cars listed in the table below classified by type and color. If a ar is selected ...

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Q: A boiler has four identical relief valves. The probability that any particular valve will open on de...

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Q: Suppose there are 3 agents i E(1, 2, 3) with preferences over 3 objects j e(a, b, c) as follows: 1:c...

A:   A random assignment∈ is an envy-free when the preference of the agent does not have any partial al...

Q: according to CDC the mean cholerestol for men  between 20-29 is 180 mg/dL with a standard deviation ...

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Q: 14. The random sample size n-5 are drawn from a finite population consisting of the numbers 15, 16, ...

A: ( 14 ) Given N = 5 , n= 5 How many possible samples are there   ( 15) Given N = 5 , n =2   How ma...

Q: Eight basketball teams are competing for the top 4 standings to move up to the semi-finals. Find the...

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Q: na school of 100 students, 50 play football, 20 play basketball and 10 play both ootball and basketb...

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Q: We wish to send a single 0 or 1 (perhaps, "no" or "yes" or "don't attack" or “attack" or whatever) o...

A: Given, p=0.1 n=7 s is the random variable keeping track of message whether received correctly We hav...

Q: The letters A,A,A,B,B̟C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

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Q: Consider the following problem: Consider an experiment of throwing a fair die. Let X be a random var...

A: Consider an experiment throwing a die ( 13) Values of the Random variables x ( 14 ) PMF of x

Q: Think of research situation where you want to compare two or more population proportions and state t...

A: Hypothesis is an assumption about the population parameter. The population proportion (P) is the par...

Q: Suppose a jar contains 5 red marbles and 11 blue marbles. If you reach in the jar and pull out 2 mar...

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Q: Let p = “It is raining”       q = “I am wearing my rubbers"       s = “I am carrying my umbrella”. ...

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Q: Suppose that the proportions of blood phenotypes in a particular population are as follows: A B АВ 0...

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Q: Here is one way to think about a mixed random variable. Suppose that we have a discrete random varia...

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Q: Amanager has available a pool of 9employees who could be assagned to a project-monitoring lask 2 of ...

A: Total number of employee= 9 Total number of female employee= 2 Total number of male employee= 7  

Q: A single card is drawn from a deck. Find the probability of a "Queen" or a "red card" * 53.85% O 7.6...

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Q: Problem 2 (Exponential as the limit of Geometric) Let Y - Geometric(p), where p = \A. Define X = YA,...

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Q: A college freshman must take a science course, a computer science course, and a mathematics course. ...

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Q: THEOREM TABLE        CE       EE       IE       ME      CpE      ECE 3RD YEAR 15 25 50 35...

A: From the given table, the total number of outcomes is: N = 15 + 25 + 50 + .... + 30 + 0 +0     = 410

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) ...

A: Here Coin Is tossed 3 times So Here We can use Binomial Distribution with n=3,p=0.5 Now For number o...

Q: 3. The probability that a printer produces 0, 1, 2, 3, and 4 misprints are 15%, 22%, 10%, 38% and 15...

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Q: 31 children have at least one dog, cat, or bird. 14 children have a dog. 14 children have a cat. 14 ...

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Q: Let f be a GPD density function with paramters { and 3 such that -(s-1+1) f(x) = B-1 (1+r where B> 0...

A: From the given information,  

Q: 10. Each face of a cube is painted either red or blue, each with probability 1/2. The color of each ...

A: Given: Each face of a cube is painted either red or blue with probability 1/2

Q: Probability problem: Example 12-17. A five figure number is formed by the digits 0, 1, 2, 3, 4 (with...

A: Given digit 0,1,2,3,4

Q: card of pack 52 is shuffled several times find the probability of picking.

A: If two events are said to be independent event then one event has occurred doesn't affect the probab...

Q: Q4 The winners of a provincial scholarship, as a condition of the scholarship, had to attend one of ...

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Q: Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to...

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Q: Crunchy Biscuits produces golden cream biscuits which are sold in packets. The weights of these pack...

A: Given that: Mean (u) = 320 g σ   = 10.4 g X follow standard normal distribution P(318< x < 325...

Q: How many distinct five cards hands could you draw

A: We know that Total number of cards in a deck = 52 Number of cards in a hand = 5

Q: of mine Is giving a dinner party. His current wine supply inciudes 7 bottles of zin andel, 1l of mer...

A: As per our guidelines we are suppose to answer three sub parts. Given,no.of zinfandel bottles=7no.of...

Q: In a certain online computer game, there are 440 players who are not on the Green Team and 1000 play...

A: The number of players who are not on the green team is 440.

Q: i. Identify the states, observations and all the related probabilities. Then, create a graphical mod...

A: i)      

Q: write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in ...

A: